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Finding the Fourth Proportional to 222.88, 307.47 and 135.49

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Solution

The fourth proportional to 222.88, 307.47 and 135.49 is: 186.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.88 : 307.47 = 135.49 : x
  2. Step 2: Convert to fraction form
    222.88/307.47 = 135.49/x
  3. Step 3: Cross multiply
    222.88x = 307.47 × 135.49
  4. Step 4: Simplify right side
    222.88x = 41,659.11
  5. Step 5: Solve for x
    x = 41,659.11/222.88
  6. Step 6: Final answer
    x = 186.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.